620167968 has 288 divisors, whose sum is σ = 2153612160. Its totient is φ = 170035200.

The previous prime is 620167963. The next prime is 620167981. The reversal of 620167968 is 869761026.

620167968 is a `hidden beast` number, since 620 + 16 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (620167963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10166658 + ... + 10166718.

It is an arithmetic number, because the mean of its divisors is an integer number (7477820).

Almost surely, 2^620167968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620167968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076806080).

620167968 is an abundant number, since it is smaller than the sum of its proper divisors (1533444192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

620167968 is a wasteful number, since it uses less digits than its factorization.

620167968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 620167968 is about 24903.1718461725. The cubic root of 620167968 is about 852.7788949412.

The spelling of 620167968 in words is "six hundred twenty million, one hundred sixty-seven thousand, nine hundred sixty-eight".